Certain Laplace transforms of convolution type integrals involving product of two special \(_{p}F_{p}\) functions

DOI10.1515/DEMA-2018-0025zbMath1404.33004OpenAlexW2900149743MaRDI QIDQ1756704

Gradimir V. Milovanović, Arjun K. Rathie, Rakesh Kumar Parmar

Publication date: 21 December 2018

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2018-0025

zbMATH Keywords

Laplace transformGauss's second summation theoremDixon's summation theoremGauss's summation theoremKummer's summation theoremDougall's theoremBailey's summation theoremconvolution type integralsWatson's summation theoremWhipple's first and second summation theorems

Mathematics Subject Classification ID

Laplace transform (44A10) Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (3)

FRACTIONAL DIFFERENTIATIONS AND INTEGRATIONS OF QUADRUPLE HYPERGEOMETRIC SERIES ⋮ Unnamed Item ⋮ On behavior Laplace integral operators with generalized Bessel matrix polynomials and related functions

Cites Work

• A study of generalized summation theorems for the series 2F1 with an applications to Laplace transforms of convolution type integrals involving Kummer's functions 1F1
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